Zoned finite strip method and its applications in geomechanics

The interaction action between structures and supporting soil media is of fundamental importance in foundation design and it has always attracted the attention of both researchers and engineers. This paper reviews the state-of-the-art in this field, highlighting the key areas of development, including the modelling of the soil media and various analytical as well as numerical approaches in analysing the interaction action between the foundation and soil.

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“…Allowance for varying properties in horizontal directions was included in papers by Cheung et al 107. and Oskoorouchi et al 108…”

Section: Plates On Elastic Foundationmentioning

confidence: 91%

Beams and plates on elastic foundations: a review

Wang

Tham

Cheung

2005

Progress Structural Eng Maths

170

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“…As a typical semi‐analytical numerical method, the finite strip method (FSM) was firstly proposed for 2D elasticity problems in structural engineering by Cheung (1976). In order to extend the applicability of the FSM to more problems in geomechanics, Oskoorouchi et al (1991) introduce zoned FSM in which one strip can have several different materials in the horizontal directions. Cheung et al (1998) developed a new FSM for the analysis of 2D elastic deep beams and shear walls which allow the changing rigidities and thicknesses within strips.…”

Section: Introductionmentioning

confidence: 99%

“…The finite layer method (FLM) was developed from FSM for 3D analysis and compared with the finite element method (FEM) and the finite difference method (FDM). It can not only simplify the input preparation and output interpretation but also reduce computational effort and computer memory requirements when solving various problems in layered media (Oskoorouchi et al 1991). Since the FLM was applied for the first time to analyze the elastic problems in layered foundations by Cheung and Fan (1979), it has been applied in various geotechnical problems (Booker and Small 1985, 1986; Butler 1988).…”

Section: Introductionmentioning

confidence: 99%

“…However, the continuously differentiable Fourier series or the series of Bessel functions is always applied to constructing the trial functions in traditional FLM. It makes the trial functions fail to satisfy the continuity conditions at the interface between different materials, and the applications of the FLM for 3D analysis are still limited to layers with constant material parameters (Oskoorouchi 1991).…”

Section: Introductionmentioning

confidence: 99%

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Finite Layer Method for Flow in Layered Radial Two‐Zone Aquifer Systems

Wang

Cai

2011

Groundwater

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A new finite layer method (FLM) is presented in this paper for transient flow analysis in layered radial two-zone aquifer systems. A radial two-zone system is an aquifer configuration in which a circular aquifer with finite radius is surrounded by a matrix possessing different permeability and storage properties. The aquifers can be pumped from fully or partially penetrating wells of infinitesimal radius. The trial function for drawdown is obtained through the use of piecewise linear correction functions in the present method. The trial function can satisfy the continuity conditions of flow and possess an appropriate continuity of C(0) at the two-zone interface. On the basis of Galerkin's method and the continuity condition of flow, the finite layer formulation is derived. The proposed method can cope with the anisotropy and layered heterogeneity in radial two-zone aquifer systems. Several numerical examples are presented to verify the validity of the present method through comparison with the analytical solution and the numerical results based on the finite difference method, in which a test of three-dimensional (3D) flow to a partially penetrating well in anisotropic two-zone aquifers is included. Furthermore, an additional application in simulating the two-zone flow in aquitard-aquifer systems is presented to demonstrate the applicability of FLM in modeling flow in more complex aquifer systems.

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